x(x+2)(-x-3)(3-x)=0

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Solution for x(x+2)(-x-3)(3-x)=0 equation:


Simplifying
x(x + 2)(-1x + -3)(3 + -1x) = 0

Reorder the terms:
x(2 + x)(-1x + -3)(3 + -1x) = 0

Reorder the terms:
x(2 + x)(-3 + -1x)(3 + -1x) = 0

Multiply (2 + x) * (-3 + -1x)
x(2(-3 + -1x) + x(-3 + -1x))(3 + -1x) = 0
x((-3 * 2 + -1x * 2) + x(-3 + -1x))(3 + -1x) = 0
x((-6 + -2x) + x(-3 + -1x))(3 + -1x) = 0
x(-6 + -2x + (-3 * x + -1x * x))(3 + -1x) = 0
x(-6 + -2x + (-3x + -1x2))(3 + -1x) = 0

Combine like terms: -2x + -3x = -5x
x(-6 + -5x + -1x2)(3 + -1x) = 0

Multiply (-6 + -5x + -1x2) * (3 + -1x)
x(-6(3 + -1x) + -5x * (3 + -1x) + -1x2 * (3 + -1x)) = 0
x((3 * -6 + -1x * -6) + -5x * (3 + -1x) + -1x2 * (3 + -1x)) = 0
x((-18 + 6x) + -5x * (3 + -1x) + -1x2 * (3 + -1x)) = 0
x(-18 + 6x + (3 * -5x + -1x * -5x) + -1x2 * (3 + -1x)) = 0
x(-18 + 6x + (-15x + 5x2) + -1x2 * (3 + -1x)) = 0
x(-18 + 6x + -15x + 5x2 + (3 * -1x2 + -1x * -1x2)) = 0
x(-18 + 6x + -15x + 5x2 + (-3x2 + 1x3)) = 0

Combine like terms: 6x + -15x = -9x
x(-18 + -9x + 5x2 + -3x2 + 1x3) = 0

Combine like terms: 5x2 + -3x2 = 2x2
x(-18 + -9x + 2x2 + 1x3) = 0
(-18 * x + -9x * x + 2x2 * x + 1x3 * x) = 0
(-18x + -9x2 + 2x3 + 1x4) = 0

Solving
-18x + -9x2 + 2x3 + 1x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-18 + -9x + 2x2 + x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-18 + -9x + 2x2 + x3)' equal to zero and attempt to solve:

Simplifying
-18 + -9x + 2x2 + x3 = 0

Solving
-18 + -9x + 2x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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